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Second Order Operators on a Compact Lie Group

Published online by Cambridge University Press:  20 November 2018

H. D. Fegan  and
B. Steer
H. D. Fegan
Affiliation:
Department of Mathematics, Lehigh University, Bethlehem, PA 18015 U.S.A. e-mail: hdf3@lehigh.edu
B. Steer
Affiliation:
Mathematical Institute, 24-29 St. Giles, Oxford OXI 3LB U.K. e-mail: steer@maths.ox.ac.uk
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Abstract

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We describe the structure of the space of second order elliptic differential operators on a homogenous bundle over a compact Lie group. Subject to a technical condition, these operators are homotopic to the Laplacian. The technical condition is further investigated, with examples given where it holds and others where it does not. Since many spectral invariants are also homotopy invariants, these results provide information about the invariants of these operators.

Keywords

58J7043A77
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 57 , Issue 1 , 01 February 2005 , pp. 99 - 113
Copyright
Copyright © Canadian Mathematical Society 2005

References

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